Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.2 - Fractions in Algebra - Exercise Set - Page 31: 133

Answer

A prime number has exactly two factors, while a composite number has more than two.

Work Step by Step

Every natural number has factors: 1 and itself. (The number 1 has only one factor, all others have at least two). If a natural number has only these two factors, it is a prime number. If it has factors other than these two, it is composite. The lowest prime number is 2 (1 has only one factor, so it is not considered as prime). Examples: 15 is a composite number because, besides 1 and 15, it has 3 and 5 as factors. 16 is a composite number because, besides 1 and 16, it has 2,4, and 8 as factors. 17 is a prime number, because the only factors it has are 1 and 17. 18 is a composite number because, besides 1 and 18, it has 2,3,6 and 9 as factors. 19 is a prime number, because the only factors it has are 1 and 19.
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